a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...

in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence...

APA is a computer program, written in C, designed to determine the three-dimensional structure of proteins using distance geometry. We present the sampling and convergence properties of APA, as tested on bovine pancreatic trypsin inhibitor (BPTI). The results con®rm the program's earlier success with poly-L-alanine, albeit with some complications. The correct overall orientation of the BPTI con...

Let X1, X2, . . . be independent identically distributed random elements of a compact group G. We discuss the speed of convergence of the law of the product Xl · · ·X1 to the Haar measure. We give poly-log estimates for certain finite groups and for compact semi-simple Lie groups. We improve earlier results of Solovay, Kitaev, Gamburd, Shahshahani and Dinai. 2010 Mathematics Subject Classificat...

Abstract We investigate the pattern of earnings disparity across Canadian-born ethnic groups in Canada over three census years, 1996, 2001, and 2006. This extends “Colour My World” by 10 years (Pendakur and Pendakur 2002). We find that the earnings gaps faced by Canadian-born visible minorities have not eroded since the 1990s. This is somewhat surprising given that the size of this population h...

We investigate the large sample behavior of a p-value based procedure for estimating the threshold level at which a regression function takes off from its baseline value, a problem arising in dose-response studies, engineering and other related fields. We study the procedure under the so called “dose-response” setting, where several responses can be obtained at each covariate-level. The estimat...

Analysis of degree-degree dependencies in complex networks, and their impact on processes on networks requires null models, i.e., models that generate uncorrelated scale-free networks. Most models to date, however, show structural negative dependencies, caused by finite size effects. We analyze the behavior of these structural negative degree-degree dependencies, using rank based correlation me...

This paper presents a new, penetrating approach to Young measure convergence in an abstract, measure theoretical setting. It was started in [12, 13, 14] and given its definitive shape in [18, 22]. This approach is based on K-convergence, a device by which narrow convergence on P(R) can be systematically transferred to Young measure convergence. Here P(R) stands for the set of all probability me...

We investigate the use of higher-order mixed methods for secondorder elliptic problems by establishing refined stability and convergence estimates which take into account both the mesh size h and polynomial degree p . Our estimates yield asymptotic convergence rates for the pand h p-versions of the finite element method. They also describe more accurately than previously proved estimates the in...